113874382667080 has 128 divisors (see below), whose sum is σ = 305610363002880. Its totient is φ = 37337900624640.

The previous prime is 113874382667047. The next prime is 113874382667083. The reversal of 113874382667080 is 80766283478311.

It is not an unprimeable number, because it can be changed into a prime (113874382667083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31564395 + ... + 34986565.

It is an arithmetic number, because the mean of its divisors is an integer number (2387580960960).

Almost surely, 2^{113874382667080} is an apocalyptic number.

113874382667080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113874382667080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152805181501440).

113874382667080 is an abundant number, since it is smaller than the sum of its proper divisors (191735980335800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113874382667080 is a wasteful number, since it uses less digits than its factorization.

113874382667080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427379 (or 3427375 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 113874382667080 in words is "one hundred thirteen trillion, eight hundred seventy-four billion, three hundred eighty-two million, six hundred sixty-seven thousand, eighty".